On the existence of optimal consensus control for the fractional Cucker–Smale model

Detalhes bibliográficos
Autor(a) principal: Almeida, R.
Data de Publicação: 2020
Outros Autores: Kamocki, R., Malinowska, A. B., Odzijewicz, T.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/30272
Resumo: This paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.
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spelling On the existence of optimal consensus control for the fractional Cucker–Smale modelFractional calculusFractional differential systemsFlocking modelConsensusOptimal controlThis paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.PAN2021-01-11T12:30:36Z2020-01-01T00:00:00Z2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/30272eng1230-238410.24425/acs.2020.135844Almeida, R.Kamocki, R.Malinowska, A. B.Odzijewicz, T.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:58:28Zoai:ria.ua.pt:10773/30272Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:02:23.881776Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the existence of optimal consensus control for the fractional Cucker–Smale model
title On the existence of optimal consensus control for the fractional Cucker–Smale model
spellingShingle On the existence of optimal consensus control for the fractional Cucker–Smale model
Almeida, R.
Fractional calculus
Fractional differential systems
Flocking model
Consensus
Optimal control
title_short On the existence of optimal consensus control for the fractional Cucker–Smale model
title_full On the existence of optimal consensus control for the fractional Cucker–Smale model
title_fullStr On the existence of optimal consensus control for the fractional Cucker–Smale model
title_full_unstemmed On the existence of optimal consensus control for the fractional Cucker–Smale model
title_sort On the existence of optimal consensus control for the fractional Cucker–Smale model
author Almeida, R.
author_facet Almeida, R.
Kamocki, R.
Malinowska, A. B.
Odzijewicz, T.
author_role author
author2 Kamocki, R.
Malinowska, A. B.
Odzijewicz, T.
author2_role author
author
author
dc.contributor.author.fl_str_mv Almeida, R.
Kamocki, R.
Malinowska, A. B.
Odzijewicz, T.
dc.subject.por.fl_str_mv Fractional calculus
Fractional differential systems
Flocking model
Consensus
Optimal control
topic Fractional calculus
Fractional differential systems
Flocking model
Consensus
Optimal control
description This paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01T00:00:00Z
2020
2021-01-11T12:30:36Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/30272
url http://hdl.handle.net/10773/30272
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1230-2384
10.24425/acs.2020.135844
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv PAN
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